Pure mathematics

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Fermat Primes.

preprint posted on 2025-05-08

César Aguilera

<b>The General Emergence of Physics: A Theory of Everything Encapsulated Within Standard Models of Physics and Möbius Collapse Logic</b>

The General Emergence of Physics: A Theory of Everything Encapsulated Within Standard Models of Physics and Möbius Collapse Logic

preprint posted on 2025-05-07

Symmetric Dual Arithmetic (SDA): A Proposed Algebraic Framework

Symmetric Dual Arithmetic (SDA): A Proposed Algebraic Framework

online resource posted on 2025-05-06

Part IV: Spectral Proof of the Riemann Hypothesis via the Operator C-hat-zeta

Part IV: Spectral Proof of the Riemann Hypothesis via the Operator C-hat-zeta

journal contribution posted on 2025-05-04

Recursive Differentiation Arithmetic

Recursive Differentiation Arithmetic

preprint posted on 2025-05-04

Convergence of 6n+1 and 6n+5 Composite Residue Distributions: A Combinatorial Analogue to Dirichlet's Equidistribution

Convergence of 6n+1 and 6n+5 Composite Residue Distributions: A Combinatorial Analogue to Dirichlet's Equidistribution

preprint posted on 2025-05-02

Unremarkable and Unproven Properties of π

Unremarkable and Unproven Properties of π

preprint posted on 2025-05-02

A Unified Proof Showing Bias in Equidistribution of 6n+5 and 6n+1 Prime Residue

A Unified Proof Showing Bias in Equidistribution of 6n+5 and 6n+1 Prime Residue

preprint posted on 2025-05-01

<i>A Self-Contained Proof of the Erdős–Moser Equation’s Uniqueness</i>

A Self-Contained Proof of the Erdős–Moser Equation’s Uniqueness

preprint posted on 2025-05-01

Clarification to “On the Nonexistence of Odd Perfect Numbers” (Revised Lemmas 4.1–4.4 and Chapter 8

Clarification to “On the Nonexistence of Odd Perfect Numbers” (Revised Lemmas 4.1–4.4 and Chapter 8

preprint posted on 2025-04-29

Clarification to “On the Nonexistence of Odd Perfect Numbers” (Revision of Lemmas 4.1–4.4)

Clarification to “On the Nonexistence of Odd Perfect Numbers” (Revision of Lemmas 4.1–4.4)

preprint posted on 2025-04-29

Clarification to "On the Nonexistence of Odd Perfect Numbers" (Infinite Escalation Argument).pdf

Clarification to "On the Nonexistence of Odd Perfect Numbers" (Infinite Escalation Argument).pdf

preprint posted on 2025-04-29

Everything, Everywhere, All at Once - The Fundamental Computational Structure of The Universe

Everything, Everywhere, All at Once - The Fundamental Computational Structure of The Universe

thesis posted on 2025-04-29

On the Nonexistence of Odd Perfect Numbers

On the Nonexistence of Odd Perfect Numbers

preprint posted on 2025-04-28

Una Formula per la Parte Intera

Una Formula per la Parte Intera

preprint posted on 2025-04-27

Riccardo Jacopo Bossi

<sub><strong>Ghost Particles and Spectral Symmetries: A New Lens for the Riemann Hypothesis</strong></sub>

_{Ghost Particles and Spectral Symmetries: A New Lens for the Riemann Hypothesis}

preprint posted on 2025-04-27

ABHIMANYU Sivadas

Неудивительные и недоказанные свойства π

Неудивительные и недоказанные свойства π

preprint posted on 2025-04-26

<b>HOMOLOGICAL AND COMBINATORIAL PROPERTIES OFBINOMIAL EDGE IDEALS</b>

HOMOLOGICAL AND COMBINATORIAL PROPERTIES OFBINOMIAL EDGE IDEALS

thesis posted on 2025-04-25 in Purdue University Graduate School

Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum

Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum

preprint posted on 2025-04-25

Joseph Willrich Lutalo

Goldbach's Conjecture In the Elementary Number Theory of 0 and 1

Goldbach's Conjecture In the Elementary Number Theory of 0 and 1

preprint posted on 2025-04-23

Formulas for the F-pure Threshold of Some Algebras with Straightening Laws

Formulas for the F-pure Threshold of Some Algebras with Straightening Laws

thesis posted on 2025-04-21 in Purdue University Graduate School

Paper retracted

preprint posted on 2025-04-21

Tatenda Kubalalika

A_divisor_based_proof_on_the_non_existence_of_perfect_cuboids-39.pdf

A_divisor_based_proof_on_the_non_existence_of_perfect_cuboids-39.pdf

preprint posted on 2025-04-20

Formula for Zeta of 3

Formula for Zeta of 3

preprint posted on 2025-04-20

<b>Aurian Number</b>.pdf

Aurian Number.pdf

dataset posted on 2025-04-19

A ``Carry-Over'' Approach to Explaining Cyclic Numbers and Repeating Decimals in Base-b Systems.pdf

A ``Carry-Over'' Approach to Explaining Cyclic Numbers and Repeating Decimals in Base-b Systems.pdf

preprint posted on 2025-04-16

A ``Carry-Over'' Approach to Explaining Cyclic Numbers and Repeating Decimals in Base-b Systems

A ``Carry-Over'' Approach to Explaining Cyclic Numbers and Repeating Decimals in Base-b Systems

preprint posted on 2025-04-16

Spectral Coherence and Geometric Reformulation of the Riemann Hypothesis via Torsion-Free Vector Waves

Spectral Coherence and Geometric Reformulation of the Riemann Hypothesis via Torsion-Free Vector Waves

journal contribution posted on 2025-04-14

Diego Muguet de Magalhães

On the Non-Existence of Odd Perfect Numbers- A Conjectural Proof.pdf

On the Non-Existence of Odd Perfect Numbers- A Conjectural Proof.pdf

dataset posted on 2025-04-14

Likhith Reddy Kaliki

Everything I Know About Nothing: A Mathematical Exploration of the Void and its Role in Constructing Mathematics

Everything I Know About Nothing: A Mathematical Exploration of the Void and its Role in Constructing Mathematics

preprint posted on 2025-04-13

Kizito Nmesoma Odizilike

Una Particolarità dei valori pi(10^7), pi(10^8) e pi(10^9)

Una Particolarità dei valori pi(10^7), pi(10^8) e pi(10^9)

preprint posted on 2025-04-13

Riccardo Jacopo Bossi

Classification of Hyper B-Algebra of Order 3 up to Isomorphism.txt

dataset posted on 2025-04-13

Jhamyle Pangcoga

Möbius Mu Function Walk

Möbius Mu Function Walk

online resource posted on 2025-04-11 in CQUniversity

Ways of stepping one two or three stairs up a stairway

Ways of stepping one two or three stairs up a stairway

online resource posted on 2025-04-11 in CQUniversity

Three touching circles on a line

Three touching circles on a line

online resource posted on 2025-04-11 in CQUniversity

$Number of repeating digits in base b expansion of fractions$

Number of repeating digits in base b expansion of fractions

online resource posted on 2025-04-11 in CQUniversity

Abstract art

online resource posted on 2025-04-11 in CQUniversity

Generalized digit parity for integer sequences

Generalized digit parity for integer sequences

online resource posted on 2025-04-11 in CQUniversity

Overhanging cards

Overhanging cards

online resource posted on 2025-04-11 in CQUniversity

Square matrix permutations

Square matrix permutations

online resource posted on 2025-04-11 in CQUniversity